Least Common Multiple of 8082/185, 7592/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8082/185, 7592/100 quickly i.e. 30679272/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8082/185, 7592/100 is 30679272/5.

LCM(8082/185, 7592/100) = 30679272/5

LCM of 8082/185, 7592/100

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8082/185,7592/100

Given numbers are 8082/185,7592/100

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 8082,7592

Least Common Multiple of Numerators i.e. LCM of 8082,7592 is 30679272.

GCF of Denominators means GCF of 185,100 as per the given fractions.

GCF of 185,100 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8082,7592

LCM of Fractions 8082/185,7592/100 is 30679272/5

2 8082, 7592
4041, 3796

∴ So the LCM of the given numbers is 2 x 4041 x 3796 = 30679272

Least Common Multiple of 8082,7592 with GCF Formula

Least Common Multiple of 8082,7592 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 8082,7592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8082,7592) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(8082,7592) x common factors =2 x 1 = 2

LCM(8082,7592) = ( 8082 × 7592 ) / 2

LCM(8082,7592) = 61358544 / 2

LCM(8082,7592) = 30679272


Lets's calculate GCF of 185,100

5 185, 100
37, 20

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30679272/5

Therefore the LCM of Fractions 8082/185,7592/100 is 30679272/5

Greatest Common Factor of 185,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,100 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 185,100 . The biggest common factor number is the GCF number.
So the greatest common factor 185,100 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8082/185, 7592/100

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 8082/185, 7592/100?

Answer: LCM of Numerators as per given numbers 8082/185, 7592/100 is

LCM of Numerators i.e. for 8082,7592 is 30679272

GCF of denominators i.e. for 185,100 is 5.

Thus, LCM of Fractions is 30679272/5.Finally, LCM of Fractions for 8082/185, 7592/100 is 30679272/5.